000			03614nam a22005775i 4500
001			978-3-540-31594-0
003			DE-He213
005			20161121231021.0
007			cr nn 008mamaa
008			100806s2005 gw | s |||| 0|eng d
020			_a9783540315940 _9978-3-540-31594-0
024	7		_a10.1007/b96977 _2doi
050		4	_aTJ212-225
072		7	_aTJFM _2bicssc
072		7	_aTEC004000 _2bisacsh
082	0	4	_a629.8 _223
245	1	0	_aPositive Polynomials in Control _h[electronic resource] / _cedited by Didier Henrion, Andrea Garulli.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005.
300			_aXII, 316 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Control and Information Science, _x0170-8643 ; _v312
505	0		_aFrom the contents: Part I Control Applications of Polynomial Positivity Control Applications of Sum of Squares Programming; Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition; A Sum-of-Squares Approach to Fixed-Order H8-Synthesis; LMI Optimization for Fixed-Order H8 Controller Design; An LMI-based Technique for Robust Stability Analysis of Linear Systems with Polynomial Parametric Uncertainties; Stabilization of LPV Systems -- Part II Algebraic Approaches to Polynomial Positivity on the Equivalence of Algebraic Approaches to the Minimization of Forms on the Simplex; Moment Approach to Analyze Zeros of Triangular Polynomial Sets; Polynomials Positive on Unbounded Rectangles; Stability of Interval Two-Variable Polynomials and Quasipolynomials via Positivity -- Part III Numerical Aspects of Polynomial Positivity: Structures, Algorithms, Software Tools Exploiting Algebraic Structure in Sum of Squares Programs.
520			_aPositive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.
650		0	_aEngineering.
650		0	_aAlgebraic geometry.
650		0	_aSystem theory.
650		0	_aVibration.
650		0	_aDynamical systems.
650		0	_aDynamics.
650		0	_aControl engineering.
650		0	_aRobotics.
650		0	_aMechatronics.
650	1	4	_aEngineering.
650	2	4	_aControl.
650	2	4	_aControl, Robotics, Mechatronics.
650	2	4	_aVibration, Dynamical Systems, Control.
650	2	4	_aSystems Theory, Control.
650	2	4	_aAlgebraic Geometry.
700	1		_aHenrion, Didier. _eeditor.
700	1		_aGarulli, Andrea. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540239482
830		0	_aLecture Notes in Control and Information Science, _x0170-8643 ; _v312
856	4	0	_uhttp://dx.doi.org/10.1007/b96977
912			_aZDB-2-ENG
950			_aEngineering (Springer-11647)
999			_c507338 _d507338